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44770401 = 3413174161
BaseRepresentation
bin1010101011001…
…0010001100001
310010020120110000
42222302101201
542430123101
64235330213
71052353644
oct252622141
9103216400
1044770401
11232a9735
1212bb0969
139376c80
145d35a5b
153de5486
hex2ab2461

44770401 has 80 divisors (see below), whose sum is σ = 79401168. Its totient is φ = 24883200.

The previous prime is 44770393. The next prime is 44770409. The reversal of 44770401 is 10407744.

It is an interprime number because it is at equal distance from previous prime (44770393) and next prime (44770409).

It can be written as a sum of positive squares in 8 ways, for example, as 15610401 + 29160000 = 3951^2 + 5400^2 .

It is not a de Polignac number, because 44770401 - 23 = 44770393 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44770409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733911 + ... + 733971.

Almost surely, 244770401 is an apocalyptic number.

44770401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

44770401 is a deficient number, since it is larger than the sum of its proper divisors (34630767).

44770401 is a wasteful number, since it uses less digits than its factorization.

44770401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 44770401 is about 6691.0687487127. The cubic root of 44770401 is about 355.0833659930.

The spelling of 44770401 in words is "forty-four million, seven hundred seventy thousand, four hundred one".

Divisors: 1 3 9 13 17 27 39 41 51 61 81 117 123 153 183 221 351 369 459 533 549 663 697 793 1037 1053 1107 1377 1599 1647 1989 2091 2379 2501 3111 3321 4797 4941 5967 6273 7137 7503 9061 9333 13481 14391 17901 18819 21411 22509 27183 27999 32513 40443 42517 43173 56457 64233 67527 81549 83997 97539 121329 127551 202581 244647 292617 363987 382653 552721 733941 877851 1091961 1147959 1658163 2633553 3443877 4974489 14923467 44770401